Question

A solid cube of side 20cm is melted and cast into a cuboid whose base measures 25 CM by 20 cm find the height of the cuboid

Answer 1

side = 20cm
The solid cube is melted and cast into a Cuboid of base 20cm

volume of cube = volume of cuboid

For cube

side = 20cm
vol.of cube= l × l × l
= 20 × 20 × 20
= 20 × 400
= 8000cu.cm

vol.of cuboid = 25×20×h
= 500 h

vol.of cube = vol.of cuboid
8000 = 500 h
8000÷ 500 = h
16 = h

The height of the cuboid is 16cm.

Answer 2

Answer:

$\huge\underline\green{Given:}$

Edge of cube,a=20 cm

Length of cuboid,l= 25 cm

Breadth of cuboid,b= 20cm

$\huge\underline\green{To \: find:}$

Volume of cuboid= Volume of cube

$= > \: l \times b \times h = a3$

$= > 25 \times = 20 \times h = 20 \times 20 \times 20$

=> h= 20*20*20/25*20

=> h=16 cm